114101440211 has 16 divisors (see below), whose sum is σ = 124955308800. Its totient is φ = 103328416800.

The previous prime is 114101440139. The next prime is 114101440217. The reversal of 114101440211 is 112044101411.

It is a cyclic number.

It is not a de Polignac number, because 114101440211 - 2³⁰ = 113027698387 is a prime.

It is a super-3 number, since 3×114101440211³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114101440217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3481481 + ... + 3514101.

It is an arithmetic number, because the mean of its divisors is an integer number (7809706800).

Almost surely, 2^114101440211 is an apocalyptic number.

114101440211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

114101440211 is a deficient number, since it is larger than the sum of its proper divisors (10853868589).

114101440211 is a wasteful number, since it uses less digits than its factorization.

114101440211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33850.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 114101440211 its reverse (112044101411), we get a palindrome (226145541622).

The spelling of 114101440211 in words is "one hundred fourteen billion, one hundred one million, four hundred forty thousand, two hundred eleven".